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York County, Maine, is roughly triangular in shape. To help calculate its area, Sergio has decided to use a triangle to model the region, as shown at right. According to his map, the border with New Hampshire is miles long, while the coastline along the Atlantic Ocean is approximately miles long. If the angle at the tip of Maine is , as shown in the diagram, what is the approximate area of York County?  Homework Help ✎

york county area

Find the height of the triangle.

Then use this to find the area of the triangle:

york county triangle area hint

square miles